81272160 has 120 divisors (see below), whose sum is σ = 286868736. Its totient is φ = 21669120.

The previous prime is 81272159. The next prime is 81272183. The reversal of 81272160 is 6127218.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9825 + ... + 16095.

Almost surely, 2^81272160 is an apocalyptic number.

81272160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143434368).

81272160 is an abundant number, since it is smaller than the sum of its proper divisors (205596576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81272160 is a wasteful number, since it uses less digits than its factorization.

81272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 81272160 is about 9015.1073204926. The cubic root of 81272160 is about 433.1589252114.

Adding to 81272160 its reverse (6127218), we get a palindrome (87399378).

The spelling of 81272160 in words is "eighty-one million, two hundred seventy-two thousand, one hundred sixty".